I won't get into vintage camera gear values, but yes, you can still use EF lenses on any Canon dSLR camera bodies--the mount is compatible, as is the electronic communication between the lens and body. And if you like small and compact and want to stay in the Canon lineup, the SL1/100D (or any successor) may be worth looking at, but is unlikely to be found used at the time of this writing.

However. I would also say that there are other choices open to you, and that the lenses you have are entry-level/consumer-grade, and therefore may not be worth staying in the mount system to keep using. The crop factor of today's dSLRs means that lenses tend to look longer (i.e., have a narrower field of view) on digital than they did on film, because the sensor is smaller than the frame of 35mm film. So, for example, your 35-80 is no longer a wide-ish-to-slight telephoto lens on a T5i, but frames more like a normal-to-telephoto lens (e.g., the FoV would be equivalent to 1.6x 35-80 => 56-128mm on a film camera.

Today, there is a new class of camera that is displacing or supplementing dSLRs for many shooters--typically those for whom travel and street photography is the largest portion of their shooting. And those are the mirrorless cameras. These cameras also have interchangeable lens mounts, but they combine some features from SLRs and others from digital P&S cameras (live view exposure simulation, focus peaking, etc.) and are overall quite capable feature-wise, but much smaller, lighter, and more discreet. The three main systems that seem to have the bulk of discussion/reviews about them are the Sony E-mount (NEX, or Alpha Mirrorless), Fuji X, and Olympus & Panasonic micro four-thirds cameras. These are only the most popular systems; there are other mirrorless systems like Canon's EOS M, Nikon 1, Samsung NX so you'll want to do research to see which might be the best fit for you. The sensors in the mirrorless cameras can be the same size as those in dSLRs, so the image quality is on a par. And while the overall lens systems are more restricted than dSLR systems which are leveraging film era designs, all of them have "the basics" covered; and you say you don't want to carry a lot of lenses. So depending on what you shoot, these may be as good (or better) of a fit than a dSLR.