I will present recent results concerning the geometry of a self-interacting polymer pulled by a force applied at one of its extremities, the other one being pinned. I will consider two main classes of self-interaction: attractive and repulsive. Typical examples of models in this class are the self-avoiding walk and the Domb-Joyce model (for the repulsive class), and the random walk in an annealed negative random potential (for the attractive class). For repulsive interaction, the polymer is always in a stretched state, as soon as the applied force is non-zero. In the attractive case, there is a phase transition between a collapsed and a stretched phase, as the intensity of the force increases. In the stretched phase, I'll present several results, including a local CLT for the free endpoint, the description of the microscopic structure of the polymer, and Brownian bridge asymptotics. Other results include local CLT for various local observables of the path (e.g., statistics of patterns). The above results are robust under small perturbations, allowing to treat some cases of mixed (attractive/repulsive) interactions, as well as some models of self-interacting random walks with drift. This is a joint work with D. Ioffe (Technion).