I started a sippy cup around 6mos when we introduced solids. Both my children were breast fed (but also drank from the bottle). At one year, I stopped the true feedings with my son, but breast fed before bed until 14 months. My milk dried up a little sooner with my daughter, so when we stopped at 1 year, I was worried she still needed more fluid, so I bottle fed her whole milk at bed until around 14 months (she'd never had formula and wouldn't take it). Both gave up the bottle with no problem and because they were familiar with the sippy cup, it was an easy transition.
I don't know how old you child is now, but you will notice that as your child ages between 9-12 months, most kids want a bottle less and more table food. I slowly dropped bottles (or I didn't increase the quanity in the,, but offered more table food) as my children aged. We were at about 2-3 bottles a day at 11-12 months, so losing the afternoon bottle was easy. Then after a few weeks, I dropped the morning bottle and we only had the nighttime feeding. I kept that the longest and then dropped it, too.
Everyone has different feelings about this, but I feel like bottles are for food, not beverages, so when we stopped eating liquid meals then bottles went away.
Good luck!!