With all due respect the OP needs to indicate why he thinks someone tried to "get into" his PC before any suggestions can be made. It is like suggesting fixes when someone says "My car doesn't run right".
First of all, if you are on home dsl/cable with a router/firewall set up, there is no way someone can get into your PC unless they compromise the router/firewall or you left an open Wifi connection (or that has been compromised with poor pw), primarily because, even if turned on, you PC is not on the internet.. Period. The router is on the internet, not your PC. Even when browsing the internet, it is not "on the internet"
So the first step is if you don't have a hardware firewall, get one.
Assuming you have one, default configuration of these device is to have port forwarding turned off so for someone to get to your PC, either port forwarding has been enabled, or someone is trying to hijack and existing conversation while you are using your PC. It is not clear how you would have determined that given your announced inexperience in these matters 8)
If you are worried about malicious web sites, I would
0) do the AV/malware stuff suggested above.
1) don't surf as admin (not sure if this is still possible since I don't use windows)
2) make a "safe account" with which you do you online banking; protect the folder with access lists so only that account can read it.
3) make a "browsing for cat video/drunk college pranks" account with no privileges
Frankly I would not mix casual browsing and banking with Windows, you could spin up a virtual machine of linux using virtual box and do your online banking there. Then all your banking cookies, info etc are nicely protected inside a separate file whose format windows can't read natively.
First of all, if you are on home dsl/cable with a router/firewall set up, there is no way someone can get into your PC unless they compromise the router/firewall or you left an open Wifi connection (or that has been compromised with poor pw), primarily because, even if turned on, you PC is not on the internet.. Period. The router is on the internet, not your PC. Even when browsing the internet, it is not "on the internet"
So the first step is if you don't have a hardware firewall, get one.
Assuming you have one, default configuration of these device is to have port forwarding turned off so for someone to get to your PC, either port forwarding has been enabled, or someone is trying to hijack and existing conversation while you are using your PC. It is not clear how you would have determined that given your announced inexperience in these matters 8)
If you are worried about malicious web sites, I would
0) do the AV/malware stuff suggested above.
1) don't surf as admin (not sure if this is still possible since I don't use windows)
2) make a "safe account" with which you do you online banking; protect the folder with access lists so only that account can read it.
3) make a "browsing for cat video/drunk college pranks" account with no privileges
Frankly I would not mix casual browsing and banking with Windows, you could spin up a virtual machine of linux using virtual box and do your online banking there. Then all your banking cookies, info etc are nicely protected inside a separate file whose format windows can't read natively.