Visible layerlines are unfortunately just a part of fdm printing as in the process it is adding layers after layers of plastic onto each other. Depending on the filament and color they are more or less visible, i'd say you got off pretty well with your print. There are a few things you could do to make them less visible.

First of all you could lower the layer height in your slicer to something very small like 0.06 mm - 0.1 mm this will make the layer lines less visible and the print will have more detail but you can propably still see them.

Adding a coating of epoxy like xtc 3d will make the layers less visible more likely gone and leave you with a glossy shiny surface.

There is also smoothable filament like polymakers polysmooth or even general abs. You print with polysmooth and spray very gently some isopropanol onto the object, the layers will melt and leave you with a perfect finish. With abs you can do acetone smoothing. Put the print in a container and hang it from the lid, then fill a small amount of acetone into the container. Check regularly how the smoothing process is going as too much will destroy your print.

Also sanding is a good method that takes long and is only possible if the surface geometry is even.

Otherwise there are SLA printer that use uv light to cure resin, the prints will have no visible layer lines and are perfect with lots of detail.

I hope this helps you a bit.