TransOceanics are good radios, if they are working correctly. Some of these marvels have issues from age, but there are a lot of aficionados on the web who can help if the radio has problems.
You won't need to worry much about needing a fine tuner -- on the 7000 (like several of the previous TransOceanic models) the SW band is actually several separate 'bands', each one covering a SW broadcast band.
I.e., one TransOceanic SW 'band' covers just the 31 meter band, another TransOceanic SW 'band' just covers the 25 meter band, etc.
Unfortunately, it looks like the 49, 41, and pirate broadcast bands are all in one TO SW 'band', but if memory serves, the main tuning on a TO is fine enough to pick up and separate signals fairly well on those SWBC bands.
If it's working well it should bring in plenty of SW and MW broadcast stations.
Just make sure you use batteries. Forget using wall warts. They can overheat the output transistors on TransOceanics. TO's are fickle about correct voltages. They also are scrimpy on battery usage, so a set of batteries should last a long time.