Believe it on not, transport does make a significant difference. There are many factors that potentially degrade the (digital) signal on its way from media to dac, including mechanism stability, error correction algorithms, clock quality, jitter, and the connects to the dac are very important as well. PLZ stay away from dvd players, they are possibily the worst transport to use, firstly because usually they are not oriented towards quality sound, but more important because cd reading is an after thought. You dont have to buy something that has 'transport' writen on it, a good cdplayer with digital outs (only use coax!) are in many cases better choices.
Transport mechanism stability is usually a good indication, for this reason i recommend at top-loading cd-player, they instrinsicly make better, more stable transports. The first on your listen should be the Rega Apollo or Planet 2000 models. These are top loading and possibly make THE best transports relative to their price (800 second hand, 1400ish new), i have heard them compared to the transport in 12,000 dollar cd players (various stupid $ Musical Fidelity's) and will tell you this, they are AS good as transports. If top loaders dont float your boat, Naim make possibly the best drawer loading cd player's as transports, to the point where they have removed the motor from the draw so you pull it out manually, stabilty? the thing is a tank. Another important consideration is the cabling, only use coax, never optical as they are usually very lossy. That said, a good coax will make a difference as well.
Technicalities aside, i have heard various transports compared on high level speaker systems, and there is a difference, i recommend going to a audiophile store and having a listen. I have heard the dac1 and own 701, it is a very revealing of equipment, it will certainly show you the differences