Hey, it's me again! lol
You really are being hard on yourself. I know that my little girl is three months old now, and one thing I've learned...she isn't bothered by repetition. We play the same old games throughout the day, and she still loves it. Every once in a while, she'll look at the tv, but it never holds her attention for longer than a few minutes, and that's all she needs. You are actually lucky, because my baby doesn't like her bouncer, or the swing that my grandfather got for her...which we returned for diapers. So I was out of luck when it came to putting her down to play with something...until we got her a walker. lol She is only three months, and she loves standing up and having help walking. She hasn't figured out the concept of the walker just yet, but she loves being in it, playing with the toys on it, and looking around the room.
Don't let her watch more than a half hour of tv a day, but don't stress yourself out either. It's not like it's going to scar her for life if you let her watch more, lol. But think about it...there are 24 hours in a day...your baby can't walk...she's going to have to spend a good amount of time SOMEWHERE right? So whether she's swinging, bouncing, or being swaddled in your arms, she'll most likely spend a lot of time there.
You're ARE doing a great job, so don't worry one bit.