sounds like ur worrying too much. first off, dont worry about ur gi, u will break it in with time, but even so it will still be thick and stiff to some degree, thats just how they are. also, u dont really need to do any conditioning to get ready for bjj, they will condition u in class with warm up exercises and whatnot and with some training u will get used to grappling constantly. u dont really need to tape up anyting either, unless u have some kind of injury.
if u want to do some supplemental training outside of bjj, strength training and cardio are always great.
my advice to u is just be very relaxed when u start to grappling and train. alot of newcomes freak out and get stiff or flail about when they start to grapple other people. the more relaxed u are the better u will do and clearer u can think.