doing something is better than not doing anything at all. When I first began working out I was in the same situation and just worked out with a set of dumbbells at home (get the ones where you can add and remove weights, walmart, etc has those) read the bulking guide posted here in the forum. Eat a ton - 6 small meals a day and make sure you are consuming more calories than you are burning and try to get as much protein as possible. Lift heavy with few reps. What you want to do is "shock" your body and stimulate muscle growth. If you lift heavy, your body will have to adapt and new muscle will grow by placing a large amount of stress on your existing muscle. But your diet is very important because your muscles can't grow if there's nothing to build the muscle with (protein). Take a look around at sites like
http://www.exrx.net/Lists/WtMale.html look at all the dumb bell excercises. For many excercises, you can make them work with dumbbells if you're smart enough to figure it out. Menshealth.com
www.abcbodybuilding.com is another good site. I'm sure you'll make some progress if you really put some effort into it (oh yeah, don't overtrain. Your muscles need at least 5 to 7 days to rest, read up on that) After a while though, you will get to the point where you realize the benefits you will get from weightlifting and you will join a gym. Good luck
edit:
to me, the routine you just posted seemed a little too.. easy. If you want to bulk, aim for 6 to 8 reps, not 10 or 12. Figure out what works for you and do your research.