Don't rely on single arrows that can be reversed by your opponents. Support your rings by doubling up your arrows (making sure an arrow in each direction is placed between important stations) or by making sure there are at least two paths to your rings.
Remember you can never put a ring onto the station holding your own base post. This means that it's unlikely you'll be able to complete a path without at least some base post movement. Start thinking early about how to get your base post out of the way for ring placement.
Watch out for base post moves by your opponent. The base post is always the highest positioned piece on a station and the player who has their own base post on a station controls access to that station by being able to remove any bridge into that station. If a station is important to your path, you must make sure that no opponent can move their base post into that station. This means making sure that no path to their rings can begin from that station.
Because the high position (smaller rings or base post) determines which player can remove incoming bridges, it's advantageous to hold that position on a station. Generally play the highest (smallest) ring you can on a station.
Getting a base post into a key station is a powerful enough move that it may be worth it for your opponent to sacrifice a number of their own rings in order to make that move. Be on guard against such "kamikaze" style attacks that can leave you in a weaker position than your opponent.
Don't forget that when the board fills up (with 20 bridges or more) blockers can be removed. Don't rely too heavily on blockers as the game progresses.
It can be overwhelming to pay attention to your opponent's paths. Remember that a completed path will always require no fewer than seven rings on the board, on no fewer than three stations. You can budget your attention accordingly.
Don't try to plan your path too far in advance. The situation on the board will change. Early in the game, focus on making robust, defensible links between stations, dominating stations by taking the high position, and gaining depth on your stations by placing multiple rings. Depth on a station will give you options later by enabling you to pass through a station multiple times.
Note that arrows may physically block the placement of other adjacent arrows.