Hi RedSkywalker, welcome to the forum.
Solid tyres are not really an option I'm afraid. There have been such things, but they are terrible to ride with high rolling resistance and less safe.
There are efficient tyres which are almost puncture proof and I've used one brand across three bikes and nearly five years with only a single puncture, and that one was off road over blackthorn cuttings. The tyres are Schwalbe Marathon Plus and they have a thick penetration resistant layer under the tread as you see here:
They are expensive at a recommended price of about £26.99 each, but some places discount them. The cheapest is usually this company, the web page having three different sizes at £19.99:
All Terrain Cycles
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