If by swaying you mean the front end is pulling all over the place and steering is bad, then yes it is very likely an alignment issue since you replaced the tierods. On the other hand if you mean the tires themselves are wobbling, something else is wrong. As for only turning 3/4, suggest you block the rear, lift the front end so both sides are off the ground, and turn the wheels by hand and look for anywhere you may have contact. I have heard of some balljoints being a little bit longer than others and making contact with the rim, which obviously is not a good thing. Also make sure you tighten lug nuts while the tires are off the ground or you may not end up fully seated correctly, causing the rotor to be slightly off-centered and therefore rub on the pads like a severely warped one would.
Once these are checked and it all turns smoothly, it is not difficult to set a fairly close toe alignment that will let you safely drive to a shop. You can either use a tape measure or string method. Tape measure is not as precise, but is quick especially with a helper and if you plan to get it professionally aligned should be fine. Pick a groove in the tire and measure the distance from the left tire to the right tire in two locations (like 5 and 8 o'clock). Adjust the tierod ends until the measurements are either equal or slightly toe-in (front measure is 1/8" less than the rear). At this point don't worry about centering the steering wheel, just get the tires to track each other. The shop will fix the rest.
