Texas · The car policy does not cover the bike you own
There is no Texas motorcycle price. The bike needs its own liability.
A personal auto policy does not cover a motorcycle you own. On a public road the bike still has to meet Texas financial responsibility, the same 30/60/25 floor as a car: $30,000 bodily injury per person, $60,000 per accident, and $25,000 property damage. That pays other people. It does not repair the bike or replace your gear. What you pay is a quote for the VIN, the ZIP, the limits, and the riding record. This page will not invent a statewide average.
Laying the bike up for winter does not make a lapse a good idea if you still want theft and hail covered. Keep comprehensive in force, and ask whether liability can drop only while it is not being ridden. The cold-weather version: winter hazards. Whether it is “expensive” is a different question from the average nobody can honestly quote: is motorcycle insurance expensive in Texas. The product: motorcycle insurance. The regulator: TDI.