Unless your car has a notoriously weak frame/transmission, you should be able to tow a light trailer behind about anything.
I am a huge fan of compact trailers. If you have the construction skills of a one-armed gecko, you can get a couple planks to go across th etop and turn your trailer into a transporter of all things big and boxy like fridges, couches, etc. by having them overhang (not beyond legal minimums!). If you go to harbour freight, you can also pick up a pair of trailer lights on a magnetic base which you can then strap onto your load to make it more obvious if it is overhanging your built-in trailer lights.
Mini-trailers are available at Lowes for $350 - 500. I picked one up in a yard sale for $250 about 15 years ago. I am sure mine pays for itself every 2 years or so. Some even fold flat against a garage wall for storage. If you want to get super fancy, you can build a canoe rack for it, then add on all sorts of other gizmos. Just be sure it stays as light as possible, and that it doesn't present too much extra windage (drag) behind your car.
A longer trailer is easier to reverse with. A smaller one easier to store. Some have remove able or extendable tongues to tackle both problems.
One thing to beware of pulling a trailer behind a small car - the trailer can 'wag the dog' . If your trailer is too heavy for your vehicle, it can set up a swinging momentum left and right (wagging). If this builds too much, the trailer can flip the car. This usually happens with poorly balanced loads, trailers that are too big/heavy for the car, loads with too much windage, or if the trailer's axle or wheels are improperly aligned or inflated.