Fuel/Water Temp Gauge Issue Found! Now what...

I've never done one but believe you solder them ?
The float is simply clamped in a shaped wire. Here's the issue, if have a working OEM sender, a new float, and a new seal, and a new pick up sock will cost as much or more than a entire new aftermarket sender. Those senders are typically wrong at the gauge. Then you'll need a meter match module to make it closer to accurate. Sux dont it?