An '03 is getting on in age. Does the OP expect to drive this car for another 60K miles? If so, Michelin tires last the best and I’d spend the extra money and get them. If the OP only thinks the Civic will last 25 to 30K more miles I’d just get the cheapest tires you can find. Cheap tires will last 25K on a Civic. I’m running a Cooper tire on my '03 Civic now. They aren’t going to last as long as a previous set of Michelin’s that went 70K. With the wear I’m seeing I think the Coopers will go about 40K and that’s it.
To the OP - has your Civic had a new head gasket yet? If you are closing in on 150K miles and you’ve not had a head gasket repair yet then you can expect it soon. This is an $1,100 repair. If you replaced the timing belt on schedule and have had a head gasket repair then I’d go for Michelin’s. If neither of these have been done, or you don’t know the maintenance history of the car I opt for cheap tires.