Good question for your first post Brian. I'm sure some of our keen woodworkers like @AndrewJones, @Wayne, @She_Skills or @darylhewston will be able to assist. What are you planning to do with the hardwood?
Let me also extend a very warm welcome to Workshop. I'm sure you will find plenty of helpful information and inspiring projects from other community members. I also hope you have plenty of fun. I'm looking forward to reading about your own projects and plans.
Welcome to the workshop.
To answer your question will depend on what you are cutting (picture frames, floorboards, railway sleepers etc) and the type of cut (finish) you want.
If cutting floorboards etc, a fine tooth blade will give you a better finished cut. If a fine finish is not required, then use a larger tooth blade.
Most standard blades come in either 24 (rough), 48 (medium) or 60 (fine) teeth.
Maybe consider a 'thin kerf' (80-100 tooth) blade if cutting finer timber and laminated boards.
Hope this helps