As above, if your minimum term has finished - that is you are out of contract you may be able to get the so called super fibre.
What speeds are you getting at the moment??
Be aware that the 63 speed is an average and you could end up either side of that , for exmple my average is 53
There is an openreach ( confusingly branded as BT) checker tool here:
https://www.broadbandchecker.btwholesale.com/#/ADSL/AddressHome
put your details in and see what comes up
If you want full (ie real) fibre and you want to keep your phone line you need to be careful with who you sign upto as some service providers dont include a phone number so you may loose your phone number
And for an added complication you may also be in a copper stop sell area so you will only be able to move to a full fibre ISP .
If you go down this route, while itoffers the highest speeds an engineer will need to come to your property and drill a hole in your wall in order to install a new box inside called an Optical Network Termination (ONT) that needs its own power supply.
If you end up on a digital voice product then your phone will plug into a router and will not work in a power cut ( unless you can power both the ONT and router yourself from battery's or other off grid supply)
