K.C.
My baby is just three days older than yours. : ) I also have a 3.5 year old, so I've been through this once before (which only makes it slightly easier!)
First of all, most babies this age aren't ready to listen to books. Not enjoying reading now is in NO WAY an indicator that your baby won't like books later. If you really want to show him books, pick ones with very few words and lots of pictures of faces - that's what babies like to look at now.
As for toys, he is really still too young to be that interested in many toys too. Find a few things that are easy to grab. Babies this age also like patterns, like black and white stripes, so look for stuff with that. If you have a Gymini, this is a great age to lie him down on his back and let him play with toys that dangle from above him. I have this one but there are tons of others available: http://www.amazon.com/Tiny-Love-Deluxe-Lights-Activity/dp...
Lots of babies dislike tummy time. Just keep doing it. Even 3-5 minutes a couple of times a day will help develop the muscles for raising his head, pushing up, and eventually rolling over. Put a flat mirror down in front of him so that if he pushes up, he can look down and see himself in the mirror.
Here is another REALLY great toy for little babies. When they are young, you can lay it flat for tummy time (it even has a mirror). As they grow, they can play with it sitting up. It can also be clipped to the stroller or high chair when they are bigger so they can play with it then too. http://www.discoverytoyslink.com/esuite/control/product?P... My daughter loves it, as do many other people I know who have bought it for their babies.
If you want good clips to attach it with, try these: http://www.discoverytoyslink.com/esuite/control/product?P...
As for sleep and eating... it sounds like he's doing well with that. Ask his doctor if it's still necessary to feed exactly every three hours, or if you can go more by his cues for when he's really hungry.
Oh, and drooling and putting hands in their mouth is really normal at this age too. It is very unlikely that your baby is actually teething yet. Teething usually starts closer to six months. Here is a great teether when you're ready: http://www.discoverytoyslink.com/esuite/control/product?P... (it's on sale - 20% off - through Feb 20)
My daughter still isn't really on a schedule yet, but I'm hoping to get her on one soon.
You sound like you're doing a great job caring for your baby and it sounds like he is growing and developing just as he should be!
K.
http://www.discoverytoyslink.com/karenchao - check out our 20/20/20 sale - 20 toys, 20% off, ends Feb 20