This will probably start a holy war, but I always suggest going with crimp connectors over solder connectors. Just about every commercial, cellular, public safety, etc installation uses crimp connectors. They provide the most consistent connection with the least amount of room for error. People who think that crimp connections are weak and unreliable have never invested the time to learn how to properly crimp a connector. Every time I show someone how much better crimping is, they almost always convert from their old solder ways.
Back to your problem. You can get clamp on BNC connectors where you can solder the center pin (though crimping is recommended), and clamp the body to the outer conductor and insulation of the coax. These connectors are available
here. However, if you are going to be doing more than a few connector installations, then I would suggest going ahead and investing in the proper tooling. You can see a few good tools by
clicking here. The Sargent tool will do crimp all the BNC connectors you could ever want.
That is my two cents. Let me know if you have any questions.
Jeff