It seems to be very complicated thing to work with satellits, only for very good operators with sofisticated antennas and big transceivers... Really is like this but there are a lot of different satellites on the sky and you can contact a few just only with a Walky Talkie!!
Most easily I worked UO-14 (it was a transponder, like a Repeater), PCsat (Telemetry and APRS Digipeater also Packet) and ISS, International Space Station which have on board a Small Packet PMS -Personal Mail System-, also works as APRS Digipeater and with a little o lucky you can contact with people on board, yes, most part of astronauts are Radio Amateurs with Official Licence.
For example I have contacted these stations with a simple vertical antenna and two equipments (one for TX and the other for RX, but if you have a Biband transceiver no need more) and 5 ó 10 w. is enought. ISS sometimes arrives here signal 9+20 and +40 Db. Nowadays I still working ARISS and new LEO SATs as AO-51, AO-27, SO-50, HO-68... and a few on SSB as FO-29, VO-52.
You have other possibilities as Meteorologic Sat, you have easier at 137Mhz decoding NOAA:
There are a lot of satellites sent by Amateur on the sky... What are you waiting for?
More info here.