I suggest a standard spraypaint refinish (your color choice). About $150

I have to do the same thing to my tub.

I have seen trucks with "Bathfitter"and "Rebath"around my town. They have a method that allows the existing tub to stay put. Try checking these names out online.

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You can buy the Lowe's bathtub refinish paint kit (white).  Follow the directions and give it a good sand.  Clean well before applying paint.  The paint really has a new tub look and the finish is very smooth.  If you are on a budget this would be the way to go.  Make sure and tape off your drain, faucet, overflow and etc.  You can then use a blade knife to gently remove the tape.