If you've toddler proofed your house she will not be likely to hurt herself. It sounds like you have some changes to make. You will not want to keep her confined to her crib for the next several years. :) Soon you will not be able to always have her within your sight. While you're in the bathroom she'll climb up on that step stool and reach the knife that you've left there because you weren't going to be gone long.
You do need to keep everything that is dangerous out of the reach of your daughter all of the time. This may mean putting "stoppers" on your drawers and door knob covers on your outside doors. You won't know what you need to do until you allow your daughter to explore the house and watch what she does. Some toddlers are more active than others.
You won't know if she'll leave her room and get into things until you give her the opportunity to do so. My grandchildren, now ages 6 and 9 never left their room to get into things during the night. But if they had, their mother would've put up a gate or tried other ways to keep them in their room.
They did climb up on the step stool. My daughter put the step stool on top of the refrigerator. Knifes and scissors were in a drawer that the kids never tried to open until they were tall enough to see into the drawer. Actually they can't open a drawer that is above their heads. Toxic products that we usually kept under the sinks went onto top shelves in the closets.
They did get into things that their mother would rather that they not get into but never into something dangerous because she thought about dangers and found ways to keep them out of the kids reach. My granddaughter, who has eczema, for which we used cream, smeared the cream all over the foot stool in her bedroom. After that the cream went on an upper shelf until she was old enough to have already learned to not smear cream on furniture. She was allowed to smear cream on herself and on one of her stuffed animals. She smeared cream on me. At 2 and 3 she learned where it was appropriate to smear cream. Because cream is not dangerous, only an inconvenience, the cream wasn't kept completely away from her as a knife would be.
Both kids have dumped powder and pulled most of the canned goods out of the cupboard. Yes, it makes a mess but we as parents cannot prevent all such inconveniences. Exploring is a very important part of learning and growing up. It's up to parents to set up ways that are acceptable to us and safe for our children as they expand their world.
As for climbing. Toddlers climb. Look at the places she might climb and change their configuration. Keep chairs pushed under the table. Remove furniture from under open windows. Put that step-stool out of sight. Know that she will climb up on the sofa. Perhaps move the coffee table away from the sofa.
And, teach her what she can do. If you don't want her onto a piece of furniture watch for when she gets up on it and remove her, telling her in whatever way you choose to use that she cannot climb on that piece. You'll have to repeat this lesson over and over.
You definitely do not want your daughter to go outside unsupervised, day or night. Once she learns how to operate that door handle she will go outside. You will not be able to have your eye on her all of the time. My granddaughter had never left the apartment until she was around 3 or 4. I was in the kitchen. She went out the front door. By the time I realized she wasn't still in her room,(perhaps 4-5 minutes) quietly playing, she had made her way down to the office. Fortunately she went to the office and not out the building's front door.
The apartment door is metal and there was no easy way to put a latch on it higher up and the handle was a lever and we couldn't find a device to stop it's use. Some how she didn't make it past the front door again. Keeping our children safe is a learning process for all of us. We try different things until we find one that works. And, often, in spite of our best efforts, things happen that scare us. That is just the way it is. We can never forsee everything our child will try or do but yet nearly every child whose parents were actively involved in providing for their safety grows to adulthood.
I strongly advise you to go thru your house and put up anything that is dangerous for your daughter. And try out the toddler bed. It may not work for a variety of reasons. However, keeping her in the crib so that she won't leave her room will only work until she learns how to climb out. Do you want to begin teaching her about being safe now or later?