Sounds like your rear tiedowns are OK if they are attached to the frame. On the front, you can just leave whats there already (and not use them), and install some heavy-duty rings, using a backing plate for each one. That way all you have to do is drill through the floor using the new rings as a template, and assemble it. Look and plan before you drill, make sure you're clear and can get to them underneath. Don't rely on some mickey mouse D-ring set in there with just screws. Use one of the drive-in chocks like the previously mentioned Condor (best...), or Harbor Freights cheapy that is on sale a lot at $45-50. Both will work fine. Tie down the bike with two straps on the front to the frame -never the handlebars- using soft straps around the frame. I often place a piece of 4x6 under the frame and tie the bike down on that so the forks don't get compressed much. If you do that, all you need in the rear is one strap going from one rear tie down, loop around the rear wheel at the bottom, and then to the other rear tie down. Keeps the rear of the bike from jumping around.
Have hauled a bunch of bikes in toy haulers and regular trailers, no problems when doing it this way. When you stop for fuel, look in the rear and check the straps for tightness.